{"id":67227,"date":"2020-02-21T18:53:22","date_gmt":"2020-02-21T18:53:22","guid":{"rendered":"https:\/\/schooltutoring.com\/help\/?p=67227"},"modified":"2020-02-21T18:53:22","modified_gmt":"2020-02-21T18:53:22","slug":"projectile-motion","status":"publish","type":"post","link":"https:\/\/schooltutoring.com\/help\/projectile-motion\/","title":{"rendered":"Projectile Motion"},"content":{"rendered":"<h2><span style=\"font-weight: 400;\">Overview<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">Physics in general can be regarded as the study of how things work and operate in our day to day lives. It can help explain anything as simple as the mechanics and forces involved when you walk to even something as complicated as the origins of the universe. One of the most important and useful applications of physics and kinematics is our ability to predict motion of objects; particularly motion of projectiles. By definition, projectile motion is a type of motion an object undergoes when it\u2019s is launched near the Earth\u2019s surface and travels along a curved path (most commonly a parabolic path).\u00a0<\/span><\/p>\n<h2><span style=\"font-weight: 400;\">Methodology for Solving Projectile Motion Questions<\/span><\/h2>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Draw a diagram of the problem given<\/span>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Label and include any sort of information given in your diagram (e.g. distances, velocities etc)<\/span><\/li>\n<\/ol>\n<\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Break the problem into x- and y- components<\/span>\n<ol>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Create a table to better organize your data<\/span><\/li>\n<\/ol>\n<\/li>\n<li style=\"font-weight: 400;\"><span style=\"font-weight: 400;\">Determine which variables you need to solve for and using the appropriate kinematic equations solve for the missing data<\/span><\/li>\n<\/ol>\n<h2><span style=\"font-weight: 400;\">Solving a Projectile Motion Question<\/span><\/h2>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400;\">Question: <\/span><span style=\"font-weight: 400;\">A soccer ball is kicked horizontally off a 22.0-meter high hill and lands a distance of 35.0 meters from the edge of the hill. Determine the initial horizontal velocity of the soccer ball.<\/span><\/p>\n<p><span style=\"font-weight: 400;\">Step #1: Draw and label a detailed diagram<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Projectile-motion.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-67228 aligncenter\" src=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Projectile-motion.png\" alt=\"\" width=\"555\" height=\"295\" srcset=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Projectile-motion.png 555w, https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Projectile-motion-300x159.png 300w\" sizes=\"auto, (max-width: 555px) 100vw, 555px\" \/><\/a><\/p>\n<p><i><span style=\"font-weight: 400;\">Note: we are taking upwards to be the positive y direction and moving to the right to be the positive horizontal direction<\/span><\/i><\/p>\n<p><span style=\"font-weight: 400;\">Step #2: Organize all the data into a table<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Table-of-Values.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-67229 aligncenter\" src=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Table-of-Values.png\" alt=\"\" width=\"628\" height=\"205\" srcset=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Table-of-Values.png 628w, https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Table-of-Values-300x98.png 300w\" sizes=\"auto, (max-width: 628px) 100vw, 628px\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Step #3: Solve for the missing variable using the appropriate kinematic equation<\/span><\/p>\n<p><span style=\"font-weight: 400;\">In this question, we are asked to find the initial horizontal velocity therefore, we are looking for\u00a0 v<\/span><span style=\"font-weight: 400;\">i\u00a0 x<\/span><span style=\"font-weight: 400;\">.\u00a0 Since we don\u2019t know what the final velocity is in the x direction the only kinematic equation we can apply to the x-components is;<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Equation-1.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-67230 aligncenter\" src=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Equation-1.png\" alt=\"\" width=\"165\" height=\"63\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">In projectile motion question the time in both the x and y components will always be the same. Hence, for us to solve the equation above we need to find time (t) using the data from the y-component.<\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-weight: 400;\">Solving for \u2018t\u2019 with the data from the y-component we get;<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><a href=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Solving-for-t.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-67231 aligncenter\" src=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Solving-for-t.png\" alt=\"\" width=\"182\" height=\"187\" \/><\/a><\/span><\/p>\n<p><span style=\"font-weight: 400;\">Using the time we just got in the expression previously for the x-component we can now solve for the initial horizontal velocity of the soccer ball.<\/span><\/p>\n<p><a href=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Solving-for-Initial-Horizontal-Velocity.png\"><img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-67232 aligncenter\" src=\"https:\/\/schooltutoring.com\/help\/wp-content\/uploads\/sites\/2\/2020\/02\/Solving-for-Initial-Horizontal-Velocity.png\" alt=\"\" width=\"162\" height=\"258\" \/><\/a><\/p>\n<p><span style=\"font-weight: 400;\">Therefore, by following these simple steps we found that the soccer ball has an initial horizontal velocity of 16.53 metres\/second.<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Overview Physics in general can be regarded as the study of how things work and operate in our day to day lives. It can help explain anything as simple as the mechanics and forces involved when you walk to even something as complicated as the origins of the universe. One of the most important and [&hellip;]<\/p>\n","protected":false},"author":17,"featured_media":67228,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"inline_featured_image":false,"footnotes":""},"categories":[12],"tags":[],"class_list":["post-67227","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-physics"],"acf":[],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/67227","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/users\/17"}],"replies":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/comments?post=67227"}],"version-history":[{"count":0,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/posts\/67227\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media\/67228"}],"wp:attachment":[{"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/media?parent=67227"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/categories?post=67227"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/schooltutoring.com\/help\/wp-json\/wp\/v2\/tags?post=67227"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}